Hara Takashi

ハラタカシ | Hara Takashi

Affiliation and department：
Homepage URL (1)： http://kaken.nii.ac.jp/ja/r/20228620

Research field (1)： Mathematical physics and basic theory

Research keywords (28)： Quantum Statistical Mechanics , Critical Phenomena , Renormalisation Group , Percolation , Self-Avoiding Walk , 階層モデル , Ising Model , Critical Point , 2点関数 , 階層的モデル , incipient infinite cluster , Integrated super-Brownian excursion , 臨界次元 , 特性関数 , ランダムクラスターモデル , 連続極限 , レース展開 , 無限クラスター , スケーリング , lace expansion , p-qモデル , 偏微分方程式 , スケーリング極限 , ISE , gravitational collapse , 解析学 , リヤプノフ指数 , 確率力学系

Papers (7)：

Sheldon Goldstein, Takashi Hara, Hal Tasaki. On the time scales in the approach to equilibrium of macroscopic quantum systems. Pays. Rev. Lett. 2013. 111. 140401
Takashi Hara. Decay of correlations in nearest-neighbor self-avoiding walk, percolation, lattice trees and animals. ANNALS OF PROBABILITY. 2008. 36. 2. 530-593
Takashi Hara, Remco Van der Hofstad, Gordon Slade. Critical two-point functions and the lace expansion for spread-out high-dimensional percolation and related models. Annals of Probability. 2003. 31. 1. 349-408
Takashi Hara, Gordon Slade. The scaling limit of the incipient infinite cluster in high-dimensional percolation. II. Integrated super-Brownian excursion. Journal of Mathematical Physics. 2000. 41. 3. 1244-1293
Takashi Hara, Gordon Slade. The incipient infinite cluster in high-dimensional percolation. ERA Amer. Math. Soc. 4 (1998), pp.48-55. 1998

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MISC (11)：

原隆. 高次元におけるSelf-Avoiding Walkとレース展開 (特集物理現象を読み解く数学的手法--統計物理のための新しい数学). 数理科学. 2011. 49. 2. 7-12
原隆. 確率論的統計力学モデルの臨界現象とlace expansion(基研研究会確率モデルの統計力学,研究会報告). 物性研究. 2004. 82. 2. 346-355
Hara Takashi, Hattori Tetsuya, Watanabe Hiroshi. Hierarchical model and triviality of $\phi^4_4$ (Applications of Renormalization Group Methods in Mathematical Sciences). RIMS Kokyuroku. 2000. 1134. 0. 70-80
Hara Takashi, Koike Tatsuhiko. Critical Phenomena in Gravitational Collapse. BUTSURI. 1999. 54. 10. 793-801
Takashi Hara, Gordon Slade. The scaling limit of the incipient infinite cluster in high-dimensional percolation. I. Critical exponents. J. Statist. Phys., 99 (2000) 1075-1168. 1999

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Books (1)：

相転移と臨界現象の数理
共立出版 2015

Work history (1)：

2004/04 - 現在 Faculty of Mathematics Professor

Association Membership(s) (3)：

International Association of Mathematical Physics , American Physical Society , American Mathematical Society

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